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" A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. V. The inclination of a straight line to a plane... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Seite 207
von John Keill - 1772 - 399 Seiten
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 364 Seiten
...parallel to F G. But AB is at Right 1 8 of this. Angles to the Plane CL. Therefore FG will be f at Right Angles to that fame Plane. But one Plane is...drawn in one of the Planes perpendicular to the common $ Def.+. Section of the Planes, are ^ perpendicular to the other of this. Plane. But FG is drawn in...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 Seiten
...is parallel to F G. But AB is at Right Angles to the Plane CL ; therefore FG will be f at fg cftK. Right Angles to that fame Plane. But one Plane is...Section of the Planes, are j perpendicular to the other + Dif.4 »f Plane. But FG is drawn in one Plane DE, per- ilit. ' pendicular to the common Section CE...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...straight line which it meets in the plane, y. II. ' A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes are perpendicular to the other plane. I III. f The inclination of a straight line to a plane...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...straight line which it meets in that plane. II. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. III. The inclination of a straight line to a plane...
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Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - 1821 - 344 Seiten
...meeting it in that plane. 146. DEFINITION. A plane is perpendicular to a plane, when all the straight lines, drawn in one of the planes, perpendicular to the common section, are perpendicular to the other plane. 147. DEFINITION. The inclination of a'straight line to a plane...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...straight line in that plane which meets it. IV. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes are perpendicular to the other plane. V. The inclination of a straight line to a plane,...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 Seiten
...straight line meeting it in that plane. 2. A plane is perpendicular to a plane, when all the straight lines drawn in one of the planes perpendicular to the common section of the two planes are perpendicular to the other plane. 3. The inclination of a straight line to a plane is...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...straight line in that plane which meets it. IV. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. V. The inclination of a straight line to a plane,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...straight line which it meets in that plane. 2. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are pendendicular to the other plane. 3. The inclination of a straight line toa planeis...
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The Elements of Descriptive Geometry ...

Thomas Grainger Hall - 1841 - 100 Seiten
...other in the other plane. (8) One plane is said to be perpendicular to another plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes are perpendicular to the other plane. (9) Planes which do not meet one another, though produced,...
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